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Finding the Fourth Proportional to 22,842.08, 31,518.72 and 12,769.08

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Solution

The fourth proportional to 22,842.08, 31,518.72 and 12,769.08 is: 17,619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.08 : 31,518.72 = 12,769.08 : x
  2. Step 2: Convert to fraction form
    22,842.08/31,518.72 = 12,769.08/x
  3. Step 3: Cross multiply
    22,842.08x = 31,518.72 × 12,769.08
  4. Step 4: Simplify right side
    22,842.08x = 402,465,057.18
  5. Step 5: Solve for x
    x = 402,465,057.18/22,842.08
  6. Step 6: Final answer
    x = 17,619.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.